WASHINGTON (CNN) -- President Barack Obama on Tuesday admitted he made a mistake in handling the nomination of Tom Daschle as his Health and Human Services secretary, saying Daschle's tax problems sent a message that the politically powerful are treated differently than average people.

President Barack Obama is interviewed by CNN's Anderson Cooper on Tuesday.

Daschle, the former Democratic leader in the U.S. Senate, withdrew earlier Tuesday as news that he failed to pay some taxes in the past continued to stir opposition on Capitol Hill.

"I think I screwed up," Obama said in an interview with CNN's Anderson Cooper. "And, I take responsibility for it and we're going to make sure we fix it so it doesn't happen again."

Daschle had apologized Monday for what he said were honest mistakes, calling them an embarrassment. The series of errors included improperly reporting $15,000 in charitable donations, failing to list $80,000 in lobbying income due to what Daschle said was a paperwork error and not reporting a car and driver loaned to him by a friend and business associate as income.

Daschle recently filed amended tax returns, and paid more than $140,000 in back taxes and interest for 2005-2007.

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Those tax issues, as well as questions over whether work he did after his stint in the senate amounted to lobbying, gave critics ammunition to question Obama's call for a culture change in Washington.

"Ultimately, I campaigned on changing Washington and bottom-up politics," Obama said. "And I don't want to send a message to the American people that there are two sets of standards -- one for powerful people and one for ordinary folks who are working every day and paying their taxes." Watch the interview with the president »

Obama defended Daschle's original appointment, saying "nobody was better equipped to deal both with the substance and policy of health care."

"He understands it as well as anybody, but also the politics, which is going to be required to actually get it done," Obama said.